Research interests: I usually work on problems involving geometric structures on surfaces and 3-manifolds.
I have a special interest for hyperbolic geometry, so my motivation often comes from the connections with one of the following topics:
Hyperbolic surfaces and hyperbolic 3-manifolds
Kleinian groups
(Higher) Teichmüller theory
Preprints
Length functions in Teichmüller and anti de Sitter geometryPDF
with Filippo Mazzoli
SO(2,n+1)-maximal representations and hyperbolic surfacesarXivPDF
with Filippo Mazzoli
Uniform models and short curves for random 3-manifolds arXivPDF
with Peter Feller and Alessandro Sisto
Publications
Small eigenvalues of random 3-manifolds JournalPDF
with Ursula Hamenstädt
Transactions of the AMS 375 (2022), 3795-3840.
Volumes of random 3-manifolds JournalPDF
Journal of Topology 14 (2021), 504-537.
Marcel Stoklasa, Limit sets for once punctured torus groups acting discretely on the Riemann sphere
Bachelor thesis, co-supervised with Beatrice Pozzetti, April 2022.